Harvard University Exam Question | Aptitude Test

[@mrinaldas9614]

16+2(sqrt39)= (sqrt13 +sqrt3)^2
Rest is simple.

[@walterwen2975]

Harvard University Exam Question, Simplify: √(16 + 2√39) + √3 =?
16 + 2√39 = 13 + 2√[(13)(3)] + 3 = (√13)² + 2(√13)(√3) + (√3)² = (√13 + √3)²
√(16 + 2√39) + √3 = √[(√13 + √3)²] + √3 = (√13 + √3) + √3 = √13 + 2√3
Answer check:
√(16 + 2√39) + √3 = √(16 + 12.490) + √3 = 5.338 + 1.732 = 7.070
√13 + 2√3 = 3.606 + 3.464 = 7.070; Confirmed
The calculation was achieved on a smartphone with a standard calculator app
Final answer:
Simplified form; √(16 + 2√39) + √3 = √13 + 2√3

[@alexmarkov9918]

You missed Harward

[@superacademy247]

I exceeded expectations of entering Harvard university

[@yiqingchen657]

It just took me 20 seconds to find solution,you made it too complicated .